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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exponent Prime Factor Digits Year
704181917563345533710 ~2002
7042353172112705951111 ~2003
704236451140847290310 ~2000
704244311140848862310 ~2000
704248823140849764710 ~2000
704261231140852246310 ~2000
704262203140852440710 ~2000
704264111140852822310 ~2000
704266763140853352710 ~2000
704276483140855296710 ~2000
704303053422581831910 ~2001
704316241422589744710 ~2001
704328851140865770310 ~2000
704337443140867488710 ~2000
704359703140871940710 ~2000
7043644913521822455111 ~2004
704385551140877110310 ~2000
704392121422635272710 ~2001
704408483140881696710 ~2000
704437439140887487910 ~2000
704439479140887895910 ~2000
704452439140890487910 ~2000
704477519140895503910 ~2000
704500457422700274310 ~2001
7045148271831738550311 ~2003
Exponent Prime Factor Digits Year
704557559140911511910 ~2000
704558279140911655910 ~2000
704562647563650117710 ~2002
704565971140913194310 ~2000
704600219140920043910 ~2000
704612459140922491910 ~2000
704625791140925158310 ~2000
704642699140928539910 ~2000
704654771140930954310 ~2000
7046716912254949411311 ~2003
704684471140936894310 ~2000
704696039140939207910 ~2000
704741099140948219910 ~2000
704754269563803415310 ~2002
704761289563809031310 ~2002
704767559140953511910 ~2000
7047695232396216378311 ~2003
704773033422863819910 ~2001
704779703140955940710 ~2000
704787383140957476710 ~2000
704788163140957632710 ~2000
704790563140958112710 ~2000
70480227715082768727912 ~2005
704808179140961635910 ~2000
704815921422889552710 ~2001
Exponent Prime Factor Digits Year
704833463140966692710 ~2000
704852669986793736710 ~2002
704862659140972531910 ~2000
7048627012678478263911 ~2003
704908499140981699910 ~2000
704908871140981774310 ~2000
704929271140985854310 ~2000
704929919140985983910 ~2000
704932691140986538310 ~2000
704943383140988676710 ~2000
70498903910856831200712 ~2005
704991719140998343910 ~2000
7050262431833068231911 ~2003
705031979141006395910 ~2000
705032879141006575910 ~2000
705040691141008138310 ~2000
705113483141022696710 ~2000
705149771141029954310 ~2000
705154259141030851910 ~2000
705189203141037840710 ~2000
7051917431692460183311 ~2003
705201383141040276710 ~2000
705201719141040343910 ~2000
705204431141040886310 ~2000
705266041423159624710 ~2001
Exponent Prime Factor Digits Year
705279083141055816710 ~2000
705290711141058142310 ~2000
7052956392398005172711 ~2003
705319753423191851910 ~2001
705326939564261551310 ~2002
705352391141070478310 ~2000
705370243705370243110 ~2002
705387187705387187110 ~2002
705470933423282559910 ~2001
705472343141094468710 ~2000
705514091141102818310 ~2000
705524249564419399310 ~2002
7055308934938716251111 ~2004
7055438032963283972711 ~2003
705548159141109631910 ~2000
705557711141111542310 ~2000
705579779141115955910 ~2000
705601079141120215910 ~2000
705629819141125963910 ~2000
705644063141128812710 ~2000
7056739791270213162311 ~2002
705690299141138059910 ~2000
705707423141141484710 ~2000
705712043141142408710 ~2000
705716351141143270310 ~2000
3315
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25-04-13